ISSN:
1573-8507
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
,
Physics
Notes:
Abstract The presence of a film of surface-active agents leads to a change of the force acting on the surface of a liquid. This change does not lead to a simple decrease of the surface tension α, and it is connected with the appearance of tangential forces acting on the free surface of the fluid [1]. The stability of the free surface of a liquid with a film of a surface-active agent in a variable gravitational field is examined. The linear formulation of the problem is solved. A solution is sought in the form of a series in powers of the small viscosity by the method of Laplace transforms in time and Fourier transforms in the x and y variables (the xy-plane coincides with the undisturbed liquid surface). An integrodifferential equation of the second-order with periodic coefficients is derived for the displacement of the surface from the equilibrium position. The solution is found by the method of averaging [2]. It is shown that the excitation energy should not be less than the energy dissipated in the system. It is shown that the presence of the film substantially increases the threshold of the instability.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01012978
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